{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_star:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Star Coordinate Plot\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Star Coordinate Plot maps a higher dimensional space with a non-linear function to two dimensions. Compared to Radviz, points can be outside of the circle.\n",
    "\n",
    "Let us visualize some test data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "code": "visualization/usage_star.py",
    "section": "load_data"
   },
   "outputs": [],
   "source": [
    "from pymoo.factory import get_problem, get_reference_directions\n",
    "\n",
    "ref_dirs = get_reference_directions(\"uniform\", 6, n_partitions=5)\n",
    "F = get_problem(\"dtlz1\").pareto_front(ref_dirs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simple Star Coordinate Plot plot with points can be created by:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "code": "visualization/usage_star.py",
    "section": "star"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymoo.visualization.star_coordinate.StarCoordinate at 0x7f9e09336990>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 340,
       "width": 460
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.visualization.star_coordinate import StarCoordinate\n",
    "\n",
    "StarCoordinate().add(F).show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "The plot can be further customized by supplying a `title`, `label`, and by using other plotting directives from matplotlib. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "code": "visualization/usage_star.py",
    "section": "star_custom"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymoo.visualization.star_coordinate.StarCoordinate at 0x7f9e076b9990>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 361,
       "width": 500
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot = StarCoordinate(title=\"Optimization\",\n",
    "                      legend=(True, {'loc': \"upper left\", 'bbox_to_anchor': (-0.1, 1.08, 0, 0)}),\n",
    "                      labels=[\"profit\", \"cost\", \"sustainability\", \"environment\", \"satisfaction\", \"time\"],\n",
    "                      axis_style={\"color\": \"blue\", 'alpha': 0.7},\n",
    "                      arrow_style={\"head_length\": 0.015, \"head_width\": 0.03})\n",
    "plot.add(F, color=\"grey\", s=20)\n",
    "plot.add(F[65], color=\"red\", s=70, label=\"Solution A\")\n",
    "plot.add(F[72], color=\"green\", s=70, label=\"Solution B\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### API"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. autoclass:: pymoo.visualization.star_coordinate.StarCoordinate\n",
    "    :noindex:"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
